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Finding the Third Proportional to 20,769 and 45,043.50

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Solution

The third proportional to 20,769 and 45,043.50 is: 97,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 45,043.50 = 45,043.50 : x
  2. Step 2: Convert to fraction form
    20,769/45,043.50 = 45,043.50/x
  3. Step 3: Cross multiply
    20,769x = 45,043.50 × 45,043.50
  4. Step 4: Simplify right side
    20,769x = 2,028,916,892.25
  5. Step 5: Solve for x
    x = 2,028,916,892.25/20,769
  6. Step 6: Final answer
    x = 97,689.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.